Difference between revisions of "Laplace Transform"
Jump to navigation
Jump to search
Line 2: | Line 2: | ||
|+ Caption text | |+ Caption text | ||
|- | |- | ||
− | ! <math> f(t) </math> !! <math> F(s) = \mathcal{L}|f(t)| </math> | + | ! <math> f(t) </math> !! <math> F(s) = \mathcal{L}|f(t)| </math> |
|- | |- | ||
− | | | + | | <math> 1 </math> || <math> </math> |
|- | |- | ||
− | | | + | | <math> e^{at} </math> || <math> </math> |
|- | |- | ||
− | | | + | | <math> t^{n} </math> || <math> </math> |
+ | |- | ||
+ | | <math> \sin{at} </math> || <math> </math> | ||
+ | |- | ||
+ | | <math> \cos{at} </math> || <math> </math> | ||
+ | |- | ||
+ | | <math> \sinh{at} </math> || <math> </math> | ||
+ | |- | ||
+ | | <math> \cosh{at} </math> || <math> </math> | ||
+ | |- | ||
+ | | <math> e^{at}\sin{at} </math> || <math> </math> | ||
+ | |- | ||
+ | | <math> e^{at}\cos{at} </math> || <math> </math> | ||
+ | |- | ||
+ | | <math> e^{at}\sinh{at} </math> || <math> </math> | ||
+ | |- | ||
+ | | <math> e^{at}\cosh{at} </math> || <math> </math> | ||
+ | |- | ||
+ | | <math> t^{n}e^{at} </math> || <math> </math> | ||
|} | |} | ||
==Resources== | ==Resources== | ||
* [https://tutorial.math.lamar.edu/classes/de/LaplaceIntro.aspx Laplace Transforms], Paul's Online Notes | * [https://tutorial.math.lamar.edu/classes/de/LaplaceIntro.aspx Laplace Transforms], Paul's Online Notes |